Math  /  Algebra

QuestionFor the linear function f(x)=213xf(x)=2-\frac{1}{3} x; (a) evaluate f(3)f(-3) and f(6)f(6); (b) find the zero of ff; and (c)(c) graph ff. How can the graph of ff be used to determine the zero of ff ? (a) f(3)=f(-3)= \square (Type an integer or a simplified fraction.) f(6)=f(6)= \square (Type an integer or a simplified fraction.) (b) The zero of ff is \square . (Type an integer or a simplified fraction.) (c) Choose the correct graph below. A. B. c. D.
How can the graph of ff be used to determine the zero of ff ? A. Determine the zero of ff by finding the yy-coordinate of the point where the line intersects the yy-axis. B. Determine the zero of ff by finding the xx-coordinate of the point where the line intersects the yy-axis. C. Determine the zero of ff by finding the xx-coordinate of the point where the line intersects the xx-axis. D. Determine the zero of ff by finding the yy-coordinate of the point where the line intersects the xx-axis.

Studdy Solution
Determine how the graph can be used to find the zero of f f :
The zero of f f can be determined by finding the x x -coordinate of the point where the line intersects the x x -axis.
The correct choice is: C. Determine the zero of f f by finding the x x -coordinate of the point where the line intersects the x x -axis.
The solutions are: (a) f(3)=3 f(-3) = 3 , f(6)=0 f(6) = 0 (b) The zero of f f is 6 6 . (c) The graph is determined by the slope and intercepts, and choice C explains how to find the zero.

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